On Tuesday the king and the president will hold a bilateral meeting and Charles is also expected to address Congress, the first British monarch to do so since his mother, Queen Elizabeth II, in 1991.
The evening will end with a state dinner at the White House before the king and queen leave for New York on Wednesday.
"The Mayor will not meet privately with King Charles," Mamdani’s press secretary Joe Calvello told Fox News Digital. "He was invited to join a number of New York elected officials next week at a wreath laying at the 9/11 memorial with members of the British royal family."
Sixty-seven British citizens were killed on 9/11.
The king will leave for his last stop, Virginia, on Thursday, where he’ll meet with indigenous and Appalachian cultural groups and attend a block party celebrating 250 years of American independence.
On Thursday, Trump told a BBC reporter he believes the king’s visit will "absolutely" ease current tensions between the U.S. and the U.K. that escalated over Prime Minister Keir Starmer’s reluctance to join Trump’s military action in Iran.
"I know him well, I've known him for years. He's a brave man, and he's a great man," Trump told the BBC, adding that his and Camilla's visit will "absolutely be a positive."
Trump made his last state visit to Britain in September, which included a state dinner at Windsor Castle.